GATE CE 2012 | GATE CE Year Wise Previous Years Questions

GATE CE 2012

MCQ (Single Correct Answer)

-0.6

A simply supported beam is subjected to a uniformly distributed load of intensity $$w$$ per unit length. On half of the span from one end. The length of the span and the flexural stiffness are denoted as/and $$EI$$, respectively. The deflection at mid-span of the beam is

$${5 \over {6144}}{{w{\ell ^4}} \over {EI}}$$

$${5 \over {768}}{{w{\ell ^4}} \over {EI}}$$

$${5 \over {384}}{{w{\ell ^4}} \over {EI}}$$

$${5 \over {192}}{{w{\ell ^4}} \over {EI}}$$

GATE CE 2012

MCQ (Single Correct Answer)

-0.3

The Poisson's ratio is defined as

$$\left| {{{axial\,stress} \over {lateral\,stress}}} \right|$$

$$\left| {{{lateral\,strain} \over {axial\,strain}}} \right|$$

$$\left| {{{lateral\,stress} \over {axial\,stress}}} \right|$$

$$\left| {{{axial\,strain} \over {lateral\,strain}}} \right|$$

GATE CE 2012

MCQ (Single Correct Answer)

-0.3

The following statements are related to bending of beams:

$${\rm I}.$$ The slope of the bending moment diagram is equal to the shear force.
$${\rm II}.$$ The slope of the shear force diagram is equal to the load intensity.
$${\rm III}.$$ The slope of the curvature is equal to the flexural rotation.
$${\rm IV}.$$ The second derivative of the deflection is equal to the curvature.

The only FALSE statements is

$${\rm I}$$

$${\rm I}$$$${\rm I}$$

$${\rm I}$$$${\rm I}$$$${\rm I}$$

$${\rm IV}$$

GATE CE 2012

MCQ (Single Correct Answer)

-0.6

A symmetric frame $$PQR$$ consists of two inclined members $$PQ$$ and $$QR$$, connected at $$‘Q’$$ with a rigid joint, and hinged at $$‘P’$$ and $$‘R’.$$ The horizontal length $$PR$$ is $$l.$$ If a weight $$W$$ is suspended at $$‘Q’,$$ the bending moment at $$‘Q’$$ is

$${{w\ell } \over 2}$$

$${{w\ell } \over 4}$$

$${{w\ell } \over 8}$$

zereo

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